GCF of 6641/690, 8521/4838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6641/690, 8521/4838 i.e 1/1669110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6641/690, 8521/4838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6641/690,8521/4838?
Given fractions are 6641/690,8521/4838
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6641/690,8521/4838, numerators are 6641,8521
Denominators are 690,4838
The GCF of 6641,8521 is 1 .
LCM of 690,4838 is 1669110.
The greatest common factor of 6641/690,8521/4838 = [GCF of 6641,8521]/[LCM of 690,4838]= 1/1669110
Therefore, the GCF of 6641/690,8521/4838 is 1/1669110.
To find the highest common factor of 6641,8521, we have to find the factors of both numbers and list the highest common factor.
The factors of 6641 are 1, 29, 229, 6641
The factors of 8521 are 1, 8521
The HCF of 6641,8521 is 1.
Lets's calculate GCF of 6641,8521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6641,8521 By Matching Biggest Common Factor Method
Now, list down the factors of 6641
:1,29,229,6641
Now, list down the factors of 8521
:1,8521
Greatest Common Factor
We found the factors 6641,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 6641,8521 is 1.
Lets's calculate LCM of 690,4838
| 2 | 690, 4838 |
| 345, 2419 |
∴ So the LCM of the given numbers is 2 x 345 x 2419 = 1669110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669110
Therefore, the GCF of Fractions 6641/690,8521/4838 is 1/1669110
Least Common Multiple of 690,4838 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 690,4838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,4838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,4838) x common factors =2 x 1 = 2
LCM(690,4838) = ( 690 × 4838 ) / 2
LCM(690,4838) = 3338220 / 2
LCM(690,4838) = 1669110
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FAQs on GCF of Fractions of 6641/690, 8521/4838
1. What is the HCF of 6641,8521?
The HCF of 6641,8521 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6641/690, 8521/4838?
Answer: GCF of Numerators as per given numbers 6641/690, 8521/4838 is
GCF of Numerators i.e. for 6641,8521 is 1
LCM of denominators i.e. for 690,4838 is 1669110.
Thus, GCF of Fractions is 1/1669110.Finally, GCF of Fractions for 6641/690, 8521/4838 is 1/1669110.